What is 1/3+(5x)/6 >-(5x)/6-1/3 ?

The solution to 1/3+(5x)/6 >-(5x)/6-1/3 is x>-2/5

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1/3+(5x)/6 >-(5x)/6-1/3

\frac{1}{3} + \frac{5 x}{6} > - \frac{5 x}{6} - \frac{1}{3}

x > - \frac{2}{5}

Interval Notation

(- \frac{2}{5}, \infty)

Decimal Notation

x > - 0.4

Solution steps

\frac{1}{3} + \frac{5 x}{6} > - \frac{5 x}{6} - \frac{1}{3}

Move

\frac{5 x}{6}

to the left side

\frac{1}{3} + \frac{5 x}{3} > - \frac{1}{3}

Move

\frac{1}{3}

to the right side

\frac{5 x}{3} > - \frac{2}{3}

Multiply both sides by

3

5 x > - 2

Divide both sides by

5

x > - \frac{2}{5}

x^{2} - 14 x + 51 = 0

- 3 x^{2} + 2 x + 8

x^{2} + 3 x - 12 > 0

64 c z^{3} + 27 c x^{3}

- x^{2} = 4

What is 1/3+(5x)/6 >-(5x)/6-1/3 ?
The solution to 1/3+(5x)/6 >-(5x)/6-1/3 is x>-2/5